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Finding the Fourth Proportional to 645,272.80, 967,034.40 and 431,432.80

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Solution

The fourth proportional to 645,272.80, 967,034.40 and 431,432.80 is: 646,564.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,272.80 : 967,034.40 = 431,432.80 : x
  2. Step 2: Convert to fraction form
    645,272.80/967,034.40 = 431,432.80/x
  3. Step 3: Cross multiply
    645,272.80x = 967,034.40 × 431,432.80
  4. Step 4: Simplify right side
    645,272.80x = 417,210,358,888.32
  5. Step 5: Solve for x
    x = 417,210,358,888.32/645,272.80
  6. Step 6: Final answer
    x = 646,564.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.